2019 Neukom Research Prize Winners
Neukom Prize for Outstanding Graduate Research
The Wigner Current for Open Quantum Systems
William F. Braash, Jr., Oscar D. Friedman, Alexander J. Rimberg, and Miles P. Blencowe
We extend the Wigner current vector field (Wigner current) construct to single bosonic mode quantum systems interacting with an environment. In terms of the Wigner function quasiproba- bility density and associated Wigner current, the open system quantum dynamics can be concisely expressed as a continuity equation. Through the consideration of the harmonic oscillator and addi- tively driven Duffing oscillator in the bistable regime as illustrative system examples, we show how the evolving Wigner current vector field on the system phase space yields useful geometric insights concerning how quantum states decohere away due to interactions with the environment, as well as how they may be stabilized through the counteracting effects of the system anharmonicity (i.e., nonlinearity).
Neukom Prize for Outstanding Undergraduate Research
Modeling Semantic Encoding in a Common Neural Representational Space
Cara E. Van Uden, Samuel A. Nastase, Andrew C. Connelly, Ma Feilong, Isabella Hansen, M. Ida Gobbini, and James V. Haxby
Encoding models for mapping voxelwise semantic tuning are typically estimated separately for each individual, limiting their generalizability. In the current report, we develop a method for estimating semantic encoding models that generalize across individuals. Functional MRI was used to measure brain responses while participants freely viewed a naturalistic audiovisual movie. Word embeddings capturing agent-, action-, object-, and scene-related semantic content were assigned to each imaging volume based on an annotation of the film. We constructed both conventional withinsubject semantic encoding models and between-subject models where the model was trained on a subset of participants and validated on a left-out participant. Between subject models were trained using cortical surface-based anatomical normalization or surface-based whole-cortex hyperalignment. We used hyperalignment to project group data into an individual’s unique anatomical space via a common representational space, thus leveraging a larger volume of data for out-of-sample prediction while preserving the individual’s fine-grained functional–anatomical idiosyncrasies. Our findings demonstrate that anatomical normalization degrades the spatial specificity of between-subject encoding models relative to within-subject models. Hyperalignment, on the other hand, recovers the spatial specificity of semantic tuning lost during anatomical normalization, and yields model performance exceeding that of within-subject models.